Question

A 0.500-kg mass attached to an ideal massless spring with a
spring constant of 12.5 N/m oscillates on a horizontal,
frictionless surface. At time *t* = 0.00 s, the mass is
located at *x* = –2.00 cm and is traveling in the positive
*x*-direction with a speed of 8.00 cm/s.

PART A: Find the angular frequency of the oscillations. Express your answer in rad/s.

PART B: Determine the amplitude of the oscillations. Express your answer with the appropriate SI units.

PART C: Find the phase angle. Express your answer in rad.

PART D: Determine the total energy of the system. Express your answer with the appropriate SI units.

Answer #1

A 1.25 kg block is attached to a spring with spring constant
13.0 N/m . While the block is sitting at rest, a student hits it
with a hammer and almost instantaneously gives it a speed of 36.0
cm/s . What are
Part A
The amplitude of the subsequent oscillations?
Express your answer with the appropriate units.
Part B
The block's speed at the point where x= 0.400 A?
Express your answer with the appropriate units.

A frictionless spring-mass system with spring constant
425 N/m and mass 1kg oscillates
with amplitude 8.0 cm. What is its speed at
position x = 3.5 cm? (Answer in
cm/s.)

A 0.9 kg block attached to a spring of force constant 13.1 N/m
oscillates with an amplitude of 3 cm.
A) Find the maximum speed of the block. Answer in units m/s.
B) Find the speed of the block when it is 1.5 cm from the
equilibrium position. Answer in units of m/s.
C) Find its acceleration at 1.5 cm from the equilibrium
position. Answer in units of m/s2.
D) Find the time it takes for the block to move...

A 0.500 kg mass is attached to a spring with spring constant
5.10 N/m and let fall. What is the point where it
“stops”? what is the amplitude of the resulting
motion?

A 1.42 kg block is attached to a horizontal spring with spring
constant 3100 N/m . The block is at rest on a frictionless surface.
A 8.40 g bullet is fired into the block, in the face opposite the
spring, and sticks.
Part A
What was the bullet's speed if the subsequent oscillations have
an amplitude of 14.3 cm ?

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

A spring with spring constant 15.5 N/m hangs from the ceiling. A
ball is suspended from the spring and allowed to come to rest. It
is then pulled down 6.00 cm and released. The ball makes 25.0
oscillations in 20.0 seconds.
Part A
What is the mass of the ball?
Express your answer to three significant figures and include the
appropriate units.
Part B
What is the maximum speed?
Express your answer to three significant figures and include the
appropriate...

Consider a block attached to one end of an ideal spring with
spring constant k=10 N/m. The other end of the spring is fixed to
the ceiling. The block is moving vertically with simple harmonic
oscillations. During the oscillations, the speed of the block
reaches a maximum value of 10 m/s and the maximum acceleration of
the block is 50 m/s2.
What is the mass of the block? Express your answer in
units of kg, but enter only the numeric...

A 5 kg mass is
attached to a spring. The mass is compressed fully to the left and
released from rest. The mass displays simple harmonic motion with a
period of 3 s and a maximum speed of 0.4 m/s. Assume the spring is
massless and neglect friction and air resistance.
a. Determine ω
b. What is the
amplitude of the oscillations?
c. What is the initial
phase (in radians) of the oscillator?
d. What is the spring
constant?

A 0.200 kg mass attached to a horizontal spring is displaced
15.4 cm from rest and then released. If the mass oscillates 8.00
times in 19.3 s, what is the spring constant in the spring? 0.0344
N/m 1.36 N/m 6.78 N/m 0.0212 N/m
What is the time constant of an oscillator if its amplitude of
oscillation is decreased to 32.3% of its original value in 8.50
s?
7.52 s 15.0 s 3.76 s 1.22 s
A ball is attached to...

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